Search a number
-
+
103040004000 = 253538586667
BaseRepresentation
bin101111111110110101…
…0011010111110100000
3100211222000221112202110
41133331222122332200
53142011220112000
6115200320515320
710305266403633
oct1377552327640
9324860845673
10103040004000
113a77643a0aa
1217b77a7bb40
13994158c58b
144db6abbc1a
152a31081850
hex17fda9afa0

103040004000 has 96 divisors (see below), whose sum is σ = 337559092416. Its totient is φ = 27477331200.

The previous prime is 103040003971. The next prime is 103040004029. The reversal of 103040004000 is 400040301.

It is an interprime number because it is at equal distance from previous prime (103040003971) and next prime (103040004029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4281334 + ... + 4305333.

It is an arithmetic number, because the mean of its divisors is an integer number (3516240546).

Almost surely, 2103040004000 is an apocalyptic number.

103040004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040004000 is an abundant number, since it is smaller than the sum of its proper divisors (234519088416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103040004000 is an equidigital number, since it uses as much as digits as its factorization.

103040004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586695 (or 8586677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 103040004000 its reverse (400040301), we get a palindrome (103440044301).

The spelling of 103040004000 in words is "one hundred three billion, forty million, four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 8586667 17173334 25760001 34346668 42933335 51520002 68693336 85866670 103040004 128800005 137386672 171733340 206080008 214666675 257600010 274773344 343466680 412160016 429333350 515200020 644000025 686933360 824320032 858666700 1030400040 1073333375 1288000050 1373866720 1717333400 2060800080 2146666750 2576000100 3220000125 3434666800 4121600160 4293333500 5152000200 6440000250 6869333600 8586667000 10304000400 12880000500 17173334000 20608000800 25760001000 34346668000 51520002000 103040004000